Browsing by Author "Huang, Jing-Ye"

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Parametric coverage interval
(2007-04-01)
Chen, Lin-An
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Huang, Jing-Ye
;
Chen, Hung-Chia
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統計學研究所
;
Institute of Statistics
Parametric estimation of coverage interval is useful since the parametric intervals are generally narrower than the non-parametric ones; however, it has been considered only for the measurement variable with normal distribution. Here we propose a general technique for constructing parametric coverage intervals that may deal with all distributions, both symmetric and asymmetric, in measurement science.
Uncertainty analysis for measurement of measurand
(2010-11-01)
Chen, Hung-Chia
;
Wu, Pei-Chen
;
Huang, Jing-Ye
;
Chen, Lin-An
;
統計學研究所
For measuring the true value of a measurand, vague statistical concept of measurand results in inefficient uncertainty analysis of measurement. The vagueness is caused by the fact that true value of the measurand is an unknown parameter such as population mean or median and the measurement of this true value is a random variable. Generally a parameter may be estimated remarkably more efficiently than the prediction of the random variable. The classical uncertainty analysis in the literature has been developed based on the structure that a measurand is a random variable. This misspecification of statistical concept costs serious price of sacrificing efficiency in terms of length of the uncertainty interval. The purpose of present study is to formally formulate a statistical model for the true value of measurand and provide an uncertainty analysis for the measurement of this true value. (C) 2010 Elsevier Ltd. All rights reserved.